Deconfined Quantum Critical Points: Symmetries and Dualities
Abstract
The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of (2+1)D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work, we present multiple equivalent descriptions of deconfined QCPs, and use these to address the possibility of enlarged emergent symmetries in the low-energy limit. The easy-plane deconfined QCP, besides its previously discussed self-duality, is dual to Nf=2 fermionic quantum electrodynamics, which has its own self-duality and hence may have an O(4)×ZT2 symmetry. We propose several dualities for the deconfined QCP with SU(2) spin symmetry which together make natural the emergence of a previously suggested SO(5) symmetry rotating the Néel and valence bond solid orders. These emergent symmetries are implemented anomalously. The associated infrared theories can also be viewed as surface descriptions of (3+1) D topological paramagnets, giving further insight into the dualities. We describe a number of numerical tests of these dualities. We also discuss the possibility of “pseudocritical” behavior for deconfined critical points, and the meaning of the dualities and emergent symmetries in such a scenario.
- Authors:
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1394030
- Alternate Identifier(s):
- OSTI ID: 1423869
- Grant/Contract Number:
- SC0008739; sc0008739
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 7 Journal Issue: 3; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Dualities in Field Theory; Gauge Theories; Quantum Criticality; Quantum Phase Transitions; Particles and Fields; Statistical Physics; Condensed Matter and Materials Physics
Citation Formats
Wang, Chong, Nahum, Adam, Metlitski, Max A., Xu, Cenke, and Senthil, T. Deconfined Quantum Critical Points: Symmetries and Dualities. United States: N. p., 2017.
Web. doi:10.1103/PhysRevX.7.031051.
Wang, Chong, Nahum, Adam, Metlitski, Max A., Xu, Cenke, & Senthil, T. Deconfined Quantum Critical Points: Symmetries and Dualities. United States. doi:10.1103/PhysRevX.7.031051.
Wang, Chong, Nahum, Adam, Metlitski, Max A., Xu, Cenke, and Senthil, T. Fri .
"Deconfined Quantum Critical Points: Symmetries and Dualities". United States. doi:10.1103/PhysRevX.7.031051.
@article{osti_1394030,
title = {Deconfined Quantum Critical Points: Symmetries and Dualities},
author = {Wang, Chong and Nahum, Adam and Metlitski, Max A. and Xu, Cenke and Senthil, T.},
abstractNote = {The deconfined quantum critical point (QCP), separating the Néel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of (2+1)D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher criticality. In this work, we present multiple equivalent descriptions of deconfined QCPs, and use these to address the possibility of enlarged emergent symmetries in the low-energy limit. The easy-plane deconfined QCP, besides its previously discussed self-duality, is dual to Nf=2 fermionic quantum electrodynamics, which has its own self-duality and hence may have an O(4)×ZT2 symmetry. We propose several dualities for the deconfined QCP with SU(2) spin symmetry which together make natural the emergence of a previously suggested SO(5) symmetry rotating the Néel and valence bond solid orders. These emergent symmetries are implemented anomalously. The associated infrared theories can also be viewed as surface descriptions of (3+1) D topological paramagnets, giving further insight into the dualities. We describe a number of numerical tests of these dualities. We also discuss the possibility of “pseudocritical” behavior for deconfined critical points, and the meaning of the dualities and emergent symmetries in such a scenario.},
doi = {10.1103/PhysRevX.7.031051},
journal = {Physical Review. X},
number = 3,
volume = 7,
place = {United States},
year = {2017},
month = {9}
}
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DOI: 10.1103/PhysRevX.7.031051
DOI: 10.1103/PhysRevX.7.031051
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Works referenced in this record:
Is the Composite Fermion a Dirac Particle?
journal, September 2015
- Son, Dam Thanh
- Physical Review X, Vol. 5, Issue 3
Modular invariance, self-duality and the phase transition between quantum Hall plateaus
journal, September 1996
- Fradkin, Eduardo; Kivelson, Steven
- Nuclear Physics B, Vol. 474, Issue 3
Impurity spin texture at the critical point between Néel-ordered and valence-bond-solid states in two-dimensional SU(3) quantum antiferromagnets
journal, June 2011
- Banerjee, Argha; Damle, Kedar; Alet, Fabien
- Physical Review B, Vol. 83, Issue 23
Phase structure of Zp models in the presence of a θ parameter
journal, April 1982
- Cardy, John L.; Rabinovici, Eliezer
- Nuclear Physics B, Vol. 205, Issue 1
Evidence for Deconfined Quantum Criticality in a Two-Dimensional Heisenberg Model with Four-Spin Interactions
journal, June 2007
- Sandvik, Anders W.
- Physical Review Letters, Vol. 98, Issue 22
From an antiferromagnet to a valence bond solid: evidence for a first-order phase transition
journal, February 2008
- Jiang, F-J; Nyfeler, M.; Chandrasekharan, S.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2008, Issue 02
Scaling dimensions of higher-charge monopoles at deconfined critical points
journal, November 2015
- Sreejith, G. J.; Powell, Stephen
- Physical Review B, Vol. 92, Issue 18
Bootstrapping the O(N ) vector models
journal, June 2014
- Kos, Filip; Poland, David; Simmons-Duffin, David
- Journal of High Energy Physics, Vol. 2014, Issue 6
Continuous transition between fractional quantum Hall and superfluid states
journal, June 2014
- Barkeshli, Maissam; McGreevy, John
- Physical Review B, Vol. 89, Issue 23
First-Order Phase Transition in Easy-Plane Quantum Antiferromagnets
journal, December 2006
- Kragset, S.; Smørgrav, E.; Hove, J.
- Physical Review Letters, Vol. 97, Issue 24
Boson topological insulators: A window into highly entangled quantum phases
journal, June 2013
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 87, Issue 23
Phase transitions in three-dimensional loop models and the sigma model
journal, October 2013
- Nahum, Adam; Chalker, J. T.; Serna, P.
- Physical Review B, Vol. 88, Issue 13
Potts model at the critical temperature
journal, November 1973
- Baxter, R. J.
- Journal of Physics C: Solid State Physics, Vol. 6, Issue 23
Gauge Theory Picture of an Ordering Transition in a Dimer Model
journal, October 2008
- Charrier, D.; Alet, F.; Pujol, P.
- Physical Review Letters, Vol. 101, Issue 16
Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
journal, July 2006
- Kuklov, A. B.; Prokof’ev, N. V.; Svistunov, B. V.
- Annals of Physics, Vol. 321, Issue 7
Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
journal, September 1990
- Read, N.; Sachdev, Subir
- Physical Review B, Vol. 42, Issue 7
Emergent photons and transitions in the sigma model with hedgehog suppression
journal, August 2004
- Motrunich, Olexei I.; Vishwanath, Ashvin
- Physical Review B, Vol. 70, Issue 7
Topological Disorder Operators in Three-Dimensional Conformal Field Theory
journal, November 2002
- Borokhov, Vadim; Kapustin, Anton; Wu, Xinkai
- Journal of High Energy Physics, Vol. 2002, Issue 11
Heisenberg model on the square lattice: A continuous- quantum Monte Carlo study
journal, November 2009
- Beach, K. S. D.; Alet, Fabien; Mambrini, Matthieu
- Physical Review B, Vol. 80, Issue 18
Quantum criticality in SU(3) and SU(4) antiferromagnets
journal, August 2011
- Kaul, Ribhu K.
- Physical Review B, Vol. 84, Issue 5
O(3) Nonlinear Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions
journal, August 1988
- Haldane, F. D. M.
- Physical Review Letters, Vol. 61, Issue 8
Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids
journal, February 2016
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 93, Issue 8
Quantum phase transitions between bosonic symmetry-protected topological phases in two dimensions: Emergent and anyon superfluid
journal, May 2014
- Lu, Yuan-Ming; Lee, Dung-Hai
- Physical Review B, Vol. 89, Issue 19
Anomalous dimensions of scalar operators in QED3
journal, August 2016
- Chester, Shai M.; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Composite Fermi liquids in the lowest Landau level
journal, December 2016
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 94, Issue 24
Time-Reversal Symmetric Quantum Spin Liquids
journal, March 2016
- Wang, Chong; Senthil, T.
- Physical Review X, Vol. 6, Issue 1
Necessary Condition for Emergent Symmetry from the Conformal Bootstrap
journal, September 2016
- Nakayama, Yu; Ohtsuki, Tomoki
- Physical Review Letters, Vol. 117, Issue 13
Exotic quantum phase transitions of strongly interacting topological insulators
journal, March 2015
- Slagle, Kevin; You, Yi-Zhuang; Xu, Cenke
- Physical Review B, Vol. 91, Issue 11
The correlation length of the Potts model at the first-order transition point
journal, July 1993
- Buddenoir, E.; Wallon, S.
- Journal of Physics A: Mathematical and General, Vol. 26, Issue 13
Possibility of deconfined criticality in SU( ) Heisenberg models at small
journal, December 2013
- Harada, Kenji; Suzuki, Takafumi; Okubo, Tsuyoshi
- Physical Review B, Vol. 88, Issue 22
Theta-terms in nonlinear sigma-models
journal, March 2000
- Abanov, A. G.; Wiegmann, P. B.
- Nuclear Physics B, Vol. 570, Issue 3
Particle-vortex duality in topological insulators and superconductors
journal, May 2017
- Murugan, Jeff; Nastase, Horatiu
- Journal of High Energy Physics, Vol. 2017, Issue 5
Physics of Three-Dimensional Bosonic Topological Insulators: Surface-Deconfined Criticality and Quantized Magnetoelectric Effect
journal, February 2013
- Vishwanath, Ashvin; Senthil, T.
- Physical Review X, Vol. 3, Issue 1
Finite-size scaling and boundary effects in two-dimensional valence-bond solids
journal, April 2012
- Sandvik, Anders W.
- Physical Review B, Vol. 85, Issue 13
Reading between the lines of four-dimensional gauge theories
journal, August 2013
- Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2013, Issue 8
Two-dimensional symmetry-protected topological phases with and time-reversal symmetry
journal, July 2013
- Oon, Jeremy; Cho, Gil Young; Xu, Cenke
- Physical Review B, Vol. 88, Issue 1
Impurity spin texture at a deconfined quantum critical point
journal, October 2010
- Banerjee, Argha; Damle, Kedar; Alet, Fabien
- Physical Review B, Vol. 82, Issue 15
Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in ( ) Dimensions
journal, June 2016
- Mross, David F.; Alicea, Jason; Motrunich, Olexei I.
- Physical Review Letters, Vol. 117, Issue 1
Topological paramagnetism in frustrated spin-1 Mott insulators
journal, May 2015
- Wang, Chong; Nahum, Adam; Senthil, T.
- Physical Review B, Vol. 91, Issue 19
Duality and the θ parameter in Abelian lattice models
journal, April 1982
- Cardy, John L.
- Nuclear Physics B, Vol. 205, Issue 1
Quantum phase transition between integer quantum Hall states of bosons
journal, January 2013
- Grover, Tarun; Vishwanath, Ashvin
- Physical Review B, Vol. 87, Issue 4
Self-dual quantum electrodynamics as boundary state of the three-dimensional bosonic topological insulator
journal, December 2015
- Xu, Cenke; You, Yi-Zhuang
- Physical Review B, Vol. 92, Issue 22
Mott transition in an anyon gas
journal, November 1993
- Chen, Wei; Fisher, Matthew P. A.; Wu, Yong-Shi
- Physical Review B, Vol. 48, Issue 18
Instatons, the quark model, and the 1/N expansion
journal, March 1979
- Witten, Edward
- Nuclear Physics B, Vol. 149, Issue 2
The half-filled Landau level: The case for Dirac composite fermions
journal, April 2016
- Geraedts, S. D.; Zaletel, M. P.; Mong, R. S. K.
- Science, Vol. 352, Issue 6282
Particle-vortex duality of two-dimensional Dirac fermion from electric-magnetic duality of three-dimensional topological insulators
journal, June 2016
- Metlitski, Max A.; Vishwanath, Ashvin
- Physical Review B, Vol. 93, Issue 24
Bosonic topological insulator in three dimensions and the statistical Witten effect
journal, July 2013
- Metlitski, Max A.; Kane, C. L.; Fisher, Matthew P. A.
- Physical Review B, Vol. 88, Issue 3
Deconfined quantum criticality and Néel order via dimer disorder
journal, December 2004
- Levin, Michael; Senthil, T.
- Physical Review B, Vol. 70, Issue 22
Composite fermion duality for half-filled multicomponent Landau levels
journal, February 2017
- Sodemann, Inti; Kimchi, Itamar; Wang, Chong
- Physical Review B, Vol. 95, Issue 8
Level/rank duality and Chern-Simons-matter theories
journal, September 2016
- Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2016, Issue 9
Scaling theory of the Potts-model multicritical point
journal, September 1980
- Cardy, John L.; Nauenberg, M.; Scalapino, D. J.
- Physical Review B, Vol. 22, Issue 5
New Easy-Plane Fixed Points
journal, May 2017
- D’Emidio, Jonathan; Kaul, Ribhu K.
- Physical Review Letters, Vol. 118, Issue 18
Singularities and Scaling Functions at the Potts-Model Multicritical Point
journal, March 1980
- Nauenberg, M.; Scalapino, D. J.
- Physical Review Letters, Vol. 44, Issue 13
Bona fide interaction-driven topological phase transition in correlated symmetry-protected topological states
journal, March 2016
- He, Yuan-Yao; Wu, Han-Qing; You, Yi-Zhuang
- Physical Review B, Vol. 93, Issue 11
Lattice Model for the Néel to Valence-Bond Solid Quantum Phase Transition at Large
journal, March 2012
- Kaul, Ribhu K.; Sandvik, Anders W.
- Physical Review Letters, Vol. 108, Issue 13
Corrections to scaling in the critical theory of deconfined criticality
journal, November 2013
- Bartosch, Lorenz
- Physical Review B, Vol. 88, Issue 19
Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
journal, October 2016
- Suwa, Hidemaro; Sen, Arnab; Sandvik, Anders W.
- Physical Review B, Vol. 94, Issue 14
Inversion relations, phase transitions and transfer matrix excitations for special spin models in two dimensions
journal, June 1989
- Kl�mper, A.; Schadschneider, A.; Zittartz, J.
- Zeitschrift f�r Physik B Condensed Matter, Vol. 76, Issue 2
Emergent SO(5) Symmetry at the Néel to Valence-Bond-Solid Transition
journal, December 2015
- Nahum, Adam; Serna, P.; Chalker, J. T.
- Physical Review Letters, Vol. 115, Issue 26
Many-Body Spin Berry Phases Emerging from the -Flux State: Competition between Antiferromagnetism and the Valence-Bond-Solid State
journal, July 2005
- Tanaka, Akihiro; Hu, Xiao
- Physical Review Letters, Vol. 95, Issue 3
Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field
journal, February 1989
- Fisher, Matthew P. A.; Lee, D. H.
- Physical Review B, Vol. 39, Issue 4
Quantum criticality with two length scales
journal, March 2016
- Shao, H.; Guo, W.; Sandvik, A. W.
- Science, Vol. 352, Issue 6282
Classification and description of bosonic symmetry protected topological phases with semiclassical nonlinear sigma models
journal, April 2015
- Bi, Zhen; Rasmussen, Alex; Slagle, Kevin
- Physical Review B, Vol. 91, Issue 13
Deconfined Criticality Flow in the Heisenberg Model with Ring-Exchange Interactions
journal, May 2013
- Chen, Kun; Huang, Yuan; Deng, Youjin
- Physical Review Letters, Vol. 110, Issue 18
On mirror symmetry in three dimensional Abelian gauge theories
journal, April 1999
- Kapustin, Anton; Strassler, Matthew J.
- Journal of High Energy Physics, Vol. 1999, Issue 04
Conformality lost
journal, December 2009
- Kaplan, David B.; Lee, Jong-Wan; Son, Dam T.
- Physical Review D, Vol. 80, Issue 12
Competing orders, nonlinear sigma models, and topological terms in quantum magnets
journal, August 2006
- Senthil, T.; Fisher, Matthew P. A.
- Physical Review B, Vol. 74, Issue 6
Baryons, monopoles and dualities in Chern-Simons-matter theories
journal, February 2016
- Aharony, Ofer
- Journal of High Energy Physics, Vol. 2016, Issue 2
Chiral phase structure of QCD with many flavors
journal, March 2006
- Gies, H.; Jaeckel, J.
- The European Physical Journal C, Vol. 46, Issue 2
Dual Dirac Liquid on the Surface of the Electron Topological Insulator
journal, November 2015
- Wang, Chong; Senthil, T.
- Physical Review X, Vol. 5, Issue 4
Continuous Quantum Phase Transition between an Antiferromagnet and a Valence-Bond Solid in Two Dimensions: Evidence for Logarithmic Corrections to Scaling
journal, April 2010
- Sandvik, Anders W.
- Physical Review Letters, Vol. 104, Issue 17
Deconfined Criticality: Generic First-Order Transition in the SU(2) Symmetry Case
journal, August 2008
- Kuklov, A. B.; Matsumoto, M.; Prokof’ev, N. V.
- Physical Review Letters, Vol. 101, Issue 5
Fermion path integrals and topological phases
journal, July 2016
- Witten, Edward
- Reviews of Modern Physics, Vol. 88, Issue 3
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
journal, October 2004
- Senthil, T.; Balents, Leon; Sachdev, Subir
- Physical Review B, Vol. 70, Issue 14
New numerical method to study phase transitions
journal, July 1990
- Lee, Jooyoung; Kosterlitz, J. M.
- Physical Review Letters, Vol. 65, Issue 2
Conformal QED d , F -theorem and the ϵ expansion
journal, February 2016
- Giombi, Simone; Klebanov, Igor R.; Tarnopolsky, Grigory
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 13
First-order superfluid to valence-bond solid phase transitions in easy-plane magnets for small
journal, February 2016
- D'Emidio, Jonathan; Kaul, Ribhu K.
- Physical Review B, Vol. 93, Issue 5
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
journal, September 2012
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 86, Issue 12
Towards bootstrapping QED3
journal, August 2016
- Chester, Shai M.; Pufu, Silviu S.
- Journal of High Energy Physics, Vol. 2016, Issue 8
Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
journal, December 2015
- Nahum, Adam; Chalker, J. T.; Serna, P.
- Physical Review X, Vol. 5, Issue 4
Phase diagram of an extended classical dimer model
journal, July 2010
- Charrier, D.; Alet, F.
- Physical Review B, Vol. 82, Issue 1
Noncompact three-dimensional quantum electrodynamics with Nf=1 and Nf=4
journal, September 2004
- Hands, S.; Kogut, J.; Scorzato, L.
- Physical Review B, Vol. 70, Issue 10
Electron mass anomalous dimension at O(1/N2) in quantum electrodynamics
journal, November 1993
- Gracey, J. A.
- Physics Letters B, Vol. 317, Issue 3
Antiferromagnetic to valence-bond-solid transitions in two-dimensional Heisenberg models with multispin interactions
journal, November 2009
- Lou, Jie; Sandvik, Anders W.; Kawashima, Naoki
- Physical Review B, Vol. 80, Issue 18
Series of (2+1)-dimensional stable self-dual interacting conformal field theories
journal, December 2016
- Cheng, Meng; Xu, Cenke
- Physical Review B, Vol. 94, Issue 21
Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation
journal, July 2016
- Herbut, Igor F.
- Physical Review D, Vol. 94, Issue 2
Comments on global symmetries, anomalies, and duality in (2 + 1)d
journal, April 2017
- Benini, Francesco; Hsin, Po-Shen; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2017, Issue 4
First- and Second-Order Phase Transitions in Potts Models: Renormalization-Group Solution
journal, September 1979
- Nienhuis, B.; Berker, A. N.; Riedel, Eberhard K.
- Physical Review Letters, Vol. 43, Issue 11
A duality web in dimensions and condensed matter physics
journal, November 2016
- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374
Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
journal, May 2016
- Fuji, Yohei; He, Yin-Chen; Bhattacharjee, Subhro
- Physical Review B, Vol. 93, Issue 19
Interacting fermionic topological insulators/superconductors in three dimensions
journal, May 2014
- Wang, Chong; Senthil, T.
- Physical Review B, Vol. 89, Issue 19
Particle-vortex duality and the modular group: Applications to the quantum Hall effect and other two-dimensional systems
journal, March 2001
- Burgess, C. P.; Dolan, Brian P.
- Physical Review B, Vol. 63, Issue 15
Coulomb gas transitions in three-dimensional classical dimer models
journal, July 2009
- Chen, Gang; Gukelberger, Jan; Trebst, Simon
- Physical Review B, Vol. 80, Issue 4
Integer Quantum Hall Effect for Bosons
journal, January 2013
- Senthil, T.; Levin, Michael
- Physical Review Letters, Vol. 110, Issue 4
Phase Transition in a Lattice Model of Superconductivity
journal, November 1981
- Dasgupta, C.; Halperin, B. I.
- Physical Review Letters, Vol. 47, Issue 21
Scaling in the Fan of an Unconventional Quantum Critical Point
journal, January 2008
- Melko, Roger G.; Kaul, Ribhu K.
- Physical Review Letters, Vol. 100, Issue 1
Particle-Vortex Duality from 3D Bosonization
journal, September 2016
- Karch, Andreas; Tong, David
- Physical Review X, Vol. 6, Issue 3
Scale invariance of parity-invariant three-dimensional QED
journal, September 2016
- Karthik, Nikhil; Narayanan, Rajamani
- Physical Review D, Vol. 94, Issue 6
Solving the 3D Ising model with the conformal bootstrap
journal, July 2012
- El-Showk, Sheer; Paulos, Miguel F.; Poland, David
- Physical Review D, Vol. 86, Issue 2
Mandelstam-'t Hooft duality in abelian lattice models
journal, July 1978
- Peskin, Michael E.
- Annals of Physics, Vol. 113, Issue 1
Gravitation, gauge theories and differential geometry
journal, December 1980
- Eguchi, Tohru; Gilkey, Peter B.; Hanson, Andrew J.
- Physics Reports, Vol. 66, Issue 6
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Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries
journal, June 2019
- Son, Jun Ho; Chen, Jing-Yuan; Raghu, S.
- Journal of High Energy Physics, Vol. 2019, Issue 6
Strong-weak Chern-Simons-matter dualities from a lattice construction
journal, August 2018
- Chen, Jing-Yuan; Zimet, Max
- Journal of High Energy Physics, Vol. 2018, Issue 8
Frustration and quantum criticality
journal, May 2018
- Vojta, Matthias
- Reports on Progress in Physics, Vol. 81, Issue 6
Robust cusps near topological phase transitions: Signatures of Majorana fermions and interactions with fluctuations
journal, August 2019
- Yang, Fan; Jiang, Shao-Jian; Zhou, Fei
- Physical Review B, Vol. 100, Issue 5
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journal, August 2019
- Sun, Gaoyong; Wei, Bo-Bo; Kou, Su-Peng
- Physical Review B, Vol. 100, Issue 6
Landau-Ginzburg theories of non-Abelian quantum Hall states from non-Abelian bosonization
journal, September 2019
- Goldman, Hart; Sohal, Ramanjit; Fradkin, Eduardo
- Physical Review B, Vol. 100, Issue 11
Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality
journal, October 2019
- Ihrig, Bernhard; Zerf, Nikolai; Marquard, Peter
- Physical Review B, Vol. 100, Issue 13
Generic “unnecessary” quantum critical points with minimal degrees of freedom
journal, January 2020
- Jian, Chao-Ming; Xu, Cenke
- Physical Review B, Vol. 101, Issue 3
Fermion-induced quantum critical point in Dirac semimetals: A sign-problem-free quantum Monte Carlo study
journal, February 2020
- Li, Bo-Hai; Li, Zi-Xiang; Yao, Hong
- Physical Review B, Vol. 101, Issue 8
Critical behavior of the -Gross-Neveu model: Duality and deconfined criticality
journal, November 2017
- Janssen, Lukas; He, Yin-Chen
- Physical Review B, Vol. 96, Issue 20
Walls, anomalies, and deconfinement in quantum antiferromagnets
journal, February 2018
- Komargodski, Zohar; Sulejmanpasic, Tin; Ünsal, Mithat
- Physical Review B, Vol. 97, Issue 5
Loop models, modular invariance, and three-dimensional bosonization
journal, May 2018
- Goldman, Hart; Fradkin, Eduardo
- Physical Review B, Vol. 97, Issue 19
Intrinsic and emergent anomalies at deconfined critical points
journal, August 2018
- Metlitski, Max A.; Thorngren, Ryan
- Physical Review B, Vol. 98, Issue 8
Anomaly and global inconsistency matching: angles, nonlinear sigma model, chains, and generalizations
journal, September 2018
- Tanizaki, Yuya; Sulejmanpasic, Tin
- Physical Review B, Vol. 98, Issue 11
Deconfined criticality from the -Gross-Neveu model at three loops
journal, September 2018
- Ihrig, Bernhard; Janssen, Lukas; Mihaila, Luminita N.
- Physical Review B, Vol. 98, Issue 11
Higher-rank deconfined quantum criticality at the Lifshitz transition and the exciton Bose condensate
journal, September 2018
- Ma, Han; Pretko, Michael
- Physical Review B, Vol. 98, Issue 12
Critical behavior of the -Gross-Neveu-Yukawa model at four loops
journal, October 2018
- Zerf, Nikolai; Marquard, Peter; Boyack, Rufus
- Physical Review B, Vol. 98, Issue 16
Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
journal, January 2019
- Kobayashi, Ryohei; Shiozaki, Ken; Kikuchi, Yuta
- Physical Review B, Vol. 99, Issue 1
Numerical determination of monopole scaling dimension in parity-invariant three-dimensional noncompact QED
journal, September 2019
- Karthik, Nikhil; Narayanan, Rajamani
- Physical Review D, Vol. 100, Issue 5
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journal, February 2020
- Bonati, Claudio; Pelissetto, Andrea; Vicari, Ettore
- Physical Review D, Vol. 101, Issue 3
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journal, November 2017
- Sato, Toshihiro; Hohenadler, Martin; Assaad, Fakher F.
- Physical Review Letters, Vol. 119, Issue 19
Continuous Easy-Plane Deconfined Phase Transition on the Kagome Lattice
journal, March 2018
- Zhang, Xue-Feng; He, Yin-Chen; Eggert, Sebastian
- Physical Review Letters, Vol. 120, Issue 11
Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons
journal, February 2019
- Chen, Chuang; Xu, Xiao Yan; Meng, Zi Yang
- Physical Review Letters, Vol. 122, Issue 7
Emergent SO(5) Symmetry at the Columnar Ordering Transition in the Classical Cubic Dimer Model
journal, February 2019
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Role of Noether’s Theorem at the Deconfined Quantum Critical Point
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Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
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Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical
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Parity and the modular bootstrap
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